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Question Number 155295 by mathdanisur last updated on 28/Sep/21

$$\mathrm{Evaluate}:\underset{\mathbf{n}\to \mathrm{\infty }}{\lim }\frac{\mathrm{\Sigma }\mathbf{n}}{{\mathbf{n}}^2}=?$$

Commented by mathdanisur last updated on 28/Sep/21

$$\mathrm{Very}\mathrm{nice}\mathbf{S}\mathrm{er},\mathrm{thank}\mathrm{you}$$

Commented by MJS_new last updated on 28/Sep/21

$$\underset{j=1}{\sum ^n}j=\frac{n^2+n}{2}$$$$\frac{\frac{n^2+n}{2}}{n^2}=\frac{1}{2}+\frac{1}{2n}$$$$\Rightarrow \mathrm{answer}\mathrm{is}\frac{1}{2}$$

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